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Finding the Fourth Proportional to 10,689.94, 16,038.56 and 5,760.09

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Solution

The fourth proportional to 10,689.94, 16,038.56 and 5,760.09 is: 8,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.94 : 16,038.56 = 5,760.09 : x
  2. Step 2: Convert to fraction form
    10,689.94/16,038.56 = 5,760.09/x
  3. Step 3: Cross multiply
    10,689.94x = 16,038.56 × 5,760.09
  4. Step 4: Simplify right side
    10,689.94x = 92,383,549.07
  5. Step 5: Solve for x
    x = 92,383,549.07/10,689.94
  6. Step 6: Final answer
    x = 8,642.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.